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Popular >

simplify ((y^3)/(y^2))^3

Solution

simplify

(\frac{y ^{3}}{y ^{2}})^{3}

Solution

y^{3}

Solution steps

(\frac{y ^{3}}{y ^{2}})^{3}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{( y ^{3} ) ^{3}}{( y ^{2} ) ^{3}}

Simplify

(y^{3})^{3} : y^{9}

= \frac{y ^{9}}{( y ^{2} ) ^{3}}

Simplify

(y^{2})^{3} : y^{6}

= \frac{y ^{9}}{y ^{6}}

Apply exponent rule:

\frac{x ^{a}}{x ^{b}} = x^{a - b}

\frac{y ^{9}}{y ^{6}} = y^{9 - 6}

= y^{9 - 6}

Subtract the numbers:

9 - 6 = 3

= y^{3}

Popular Examples

-(3x)/4 <3\lor 4x+6<-3

- \frac{3 x}{4} < 3 or 4 x + 6 < - 3

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a x + a y + b x + b y

x + 2 \geq 6

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simplify-8/1 simplify

- \frac{8}{1}

Frequently Asked Questions (FAQ)

What is ((y^3)/(y^2))^3 ?
The solution to ((y^3)/(y^2))^3 is y^3